2020
DOI: 10.3390/a13090226
|View full text |Cite
|
Sign up to set email alerts
|

Spatially Adaptive Regularization in Image Segmentation

Abstract: We present a total-variation-regularized image segmentation model that uses local regularization parameters to take into account spatial image information. We propose some techniques for defining those parameters, based on the cartoon-texture decomposition of the given image, on the mean and median filters, and on a thresholding technique, with the aim of preventing excessive regularization in piecewise-constant or smooth regions and preserving spatial features in nonsmooth regions. Our model is obtained by mo… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
18
0

Year Published

2020
2020
2024
2024

Publication Types

Select...
8
1

Relationship

3
6

Authors

Journals

citations
Cited by 13 publications
(18 citation statements)
references
References 33 publications
0
18
0
Order By: Relevance
“…Here λ > 0 is a regularization parameter that needs careful tuning to suitably balance F and R (see, e.g., [53] and the references therein).…”
Section: Regularized Segmentation Modelsmentioning
confidence: 99%
See 1 more Smart Citation
“…Here λ > 0 is a regularization parameter that needs careful tuning to suitably balance F and R (see, e.g., [53] and the references therein).…”
Section: Regularized Segmentation Modelsmentioning
confidence: 99%
“…This is the case, for example, of methods based on forward-backward splitting techniques, such as proximal-gradient methods [86,87], and the forward-backward Expectation Maximization (EM) method in [88]. ADMM and split Bregman methods do not use smooth approximations too [53,[89][90][91][92][93]. The difficulties associated with the non-differentiability of the TV functional may be also overcome by reformulating the minimization problem as a saddle-point problem and solving it by a primal-dual algorithm such as the Chambolle-Pock one [94,95].…”
Section: First Discretize Then Optimizementioning
confidence: 99%
“…The paper [4] introduces spatially adaptive regularization in a variational segmentation model, where the segmentation of images is improved by taking into account their smooth and nonsmooth regions in an appropriate way. Three techniques were introduced, based on the application of spatial filters and thresholding.…”
Section: Special Issuementioning
confidence: 99%
“…Chen et al [20] integrated the transmission map and the saliency map into a unified level set formulation to extract the salient target contours of the underwater images. Antonelli et al [21] proposed some spatially varying regularization methods by using local image features (such as textures, edge, noise, etc.) to prevent excessive regularization in smooth regions and preserve spatial features in nonsmooth regions.…”
Section: Introductionmentioning
confidence: 99%